I have a utility function (logit) that is kinda weird and hard to work with given the constraints mentioned in the problem.
I’m trying to derive the marshallian demand for $x_0$, but I'm not sure how to. Thought of doing a transformation such that it looks like a Cobb-Douglas (however w. a e{$x_0$} in the beginning of the expression). Can’t get further than that.
I have posted the problem and my take on the problem, but I don't think my solution is correct as I don't see how this helps me realize that I can find the demand beforehand. The question is framed such that it should be obvious and trivial to find the demand. Can someone maybe help me with a hint or a solution? Thanks in advance!
The problem
My take on the problem
